SOLUTION: if you want to travel an average of 50/mi per hour on a trip and half of the trip you go 25/mi per hour how fast do you have to travel in the second half

Algebra.Com
Question 1050765: if you want to travel an average of 50/mi per hour on a trip and half of the trip you go 25/mi per hour how fast do you have to travel in the second half
Found 4 solutions by josgarithmetic, Alan3354, stanbon, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
How do you measure the trip? Distance?

Try that.

Constant Travel Rate Rule is as D/T=R, D for distance and T for time.


              RATE      TIME     DISTANCE

First          25              d 

Second          r               d

Total                      2d

AVERAGE        50


Average rate is given and time sum will give .
Two variables in one equation but simplification will change that.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
if you want to travel an average of 50/mi per hour on a trip and half of the trip you go 25/mi per hour how fast do you have to travel in the second half
===========
This is a "trick question."
---
Pick a distance, say 100 miles.
If you go 25 mi/hr for 1/2 of it, 50 miles, it takes 2 hours.
To make 100 miles at an average speed of 50 mi/hr takes 2 hours.
Time is up.
It's not possible.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
if you want to travel an average of 50/mi per hour on a trip and half of the trip you go 25/mi per hour how fast do you have to travel in the second half
------------------------
2nd half DATA:
rate = 25 mph ; distance = x miles ; time = x/25 hrs
-------
Final Results::
rate = 50 mph ; distance = 2x miles ; time = (2x)/50 hrs = x/25 hrs
-------
2nd half DATA:
distance = x miles ; time = (x/25)-(x/25) = 0 ; rate = x/0 = infinity
---
After the 1st half at 25 mph there is zero time for the
2nd half trip if the average rate is to be 50 mph.
--------
Cheers,
Stan H.

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
I agree with Alan.

Also ignore josgarithmetic's post (which is between "wrong", "misleading", "useless" and "incomplete").


RELATED QUESTIONS

Scenario: You need to make a round trip from Dallas to Ft. Worth (total distance 60... (answered by Theo)
Scenario: You need to make a round trip from Dallas to Ft. Worth (total distance 60... (answered by Edwin McCravy)
it is a 230 km trip. part of the trip is on gravel roads where you can only travel 50km... (answered by josgarithmetic,richwmiller)
You and a friend share the driving on a 300 mile trip. Your friend drives for 3 hours at... (answered by nshah11)
Traveling at an average speed of 60 miles per hour can give better gas mileage than... (answered by ankor@dixie-net.com)
Traveling at an average speed of 60 miles per hour can give better gas mileage than... (answered by scott8148)
You are to travel from point A to point B and return. On the trip from A to B, you travel (answered by ankor@dixie-net.com)
On a recent trip to Florida, we averaged 50 miles per hour. On the return trip we... (answered by ptaylor)
 On a recent trip to CA, we averaged 50 miles per hour. On the return trip we averaged 60 (answered by Alan3354)